2321135567664 has 40 divisors (see below), whose sum is σ = 5998448478000. Its totient is φ = 773430359808.

The previous prime is 2321135567659. The next prime is 2321135567669. The reversal of 2321135567664 is 4667655311232.

It is an interprime number because it is at equal distance from previous prime (2321135567659) and next prime (2321135567669).

It is a super-3 number, since 3×2321135567664³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2321135567669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8663427 + ... + 8927330.

It is an arithmetic number, because the mean of its divisors is an integer number (149961211950).

Almost surely, 2^{2321135567664} is an apocalyptic number.

2321135567664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2321135567664 is an abundant number, since it is smaller than the sum of its proper divisors (3677312910336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2321135567664 is a wasteful number, since it uses less digits than its factorization.

2321135567664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17593517 (or 17593511 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The spelling of 2321135567664 in words is "two trillion, three hundred twenty-one billion, one hundred thirty-five million, five hundred sixty-seven thousand, six hundred sixty-four".